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42442334111250 = 2325412953291257
BaseRepresentation
bin10011010011001111000000…
…01111111000011000010010
312120021110002020102220110200
421221213200033320120102
521030333400013030000
6230133423352240030
711640233414335503
oct1151474017703022
9176243066386420
1042442334111250
1112583769155657
1249157379a0016
131a8b3aac78c28
14a6a3116c6baa
154d9050e88500
hex2699e03f8612

42442334111250 has 120 divisors (see below), whose sum is σ = 114920470824588. Its totient is φ = 11317043136000.

The previous prime is 42442334111227. The next prime is 42442334111263. The reversal of 42442334111250 is 5211143324424.

42442334111250 is a `hidden beast` number, since 4 + 2 + 4 + 4 + 233 + 411 + 1 + 2 + 5 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 11817100635201 + 30625233476049 = 3437601^2 + 5534007^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 145575622 + ... + 145866878.

Almost surely, 242442334111250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42442334111250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57460235412294).

42442334111250 is an abundant number, since it is smaller than the sum of its proper divisors (72478136713338).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42442334111250 is a wasteful number, since it uses less digits than its factorization.

42442334111250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304238 (or 304220 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 42442334111250 its reverse (5211143324424), we get a palindrome (47653477435674).

The spelling of 42442334111250 in words is "forty-two trillion, four hundred forty-two billion, three hundred thirty-four million, one hundred eleven thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 125 150 225 250 375 450 625 750 1125 1250 1875 2250 3750 5625 11250 12953 25906 38859 64765 77718 116577 129530 194295 233154 291257 323825 388590 582514 582885 647650 873771 971475 1165770 1456285 1619125 1747542 1942950 2621313 2912570 2914425 3238250 4368855 4857375 5242626 5828850 7281425 8095625 8737710 9714750 13106565 14562850 14572125 16191250 21844275 24286875 26213130 29144250 36407125 43688550 48573750 65532825 72814250 72860625 109221375 131065650 145721250 182035625 218442750 327664125 364071250 546106875 655328250 1092213750 1638320625 3276641250 3772651921 7545303842 11317955763 18863259605 22635911526 33953867289 37726519210 56589778815 67907734578 94316298025 113179557630 169769336445 188632596050 282948894075 339538672890 471581490125 565897788150 848846682225 943162980250 1414744470375 1697693364450 2357907450625 2829488940750 4244233411125 4715814901250 7073722351875 8488466822250 14147444703750 21221167055625 42442334111250